The constant [gamma](p) appears naturally as the Euler constant for a p-analogue of the Riemann zeta
function (Kurokawa-Wakayama  (2004)), with the slight difference that our [gamma](p) equals their
are the corresponding values of the Riemann zeta
Please note the following corrections to the article Riemann zeta
zeros from an asymptotic perspective published in ASMJ Volume 29 Number 2, 2015:
Some probabilistic value distributions of the Riemann zeta
i) to generalise efficient congruencing to approximately translation invariant systems, and explore consequent applications to Diophantine problems such as Waring~s problem, restriction problems from discrete Fourier analysis, and bounds for the Riemann zeta
function within the critical strip;
Based on courses written by mathematics professors at the University of Wurzburg for the August 2012 International Summer School, four papers explain how modularity can be useful when studying the asymptotic behavior of arithmetically interesting functions, the representation of real numbers by their continued fraction expansion or their expansion in some integer base, and the connections between multiplicative Toeplitz matrices and the Riemann zeta
Among the topics are modular functions and Eisenstein series, the Riemann zeta
function, Euler's formulas and functional equations, functional equations, a linear space of solutions, and the multidimensional Poisson summation formula.
In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta
function and the Hurwitz zeta function.
n] can be evaluated using the Riemann Zeta
j] is the generalized Riemann zeta
function known also as Hurwitz zeta function.
Bradley, Searching symbolically for Apery-like formulae for values of the Riemann zeta
function, SIGSAM Bulletin of Algebraic and Symbolic Manipulation, Association of Computing Machinery, 30 (1996), no.
Among the poles of the meromorphic function Z(s) are the roots p of the Riemann zeta
function in the critical strip 0 < [sigma]< 1, which is clear from Eq.